Topological Methods in Complementarity Theory

by G. Isac

Overview

Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a wide class of mathematical models related to optimization, game theory, economic engineering, mechanics, fluid mechanics, shastic optimal control etc. The book is dedicated to the study of nonlinear complementarity problems by topological methods.
Audience: Mathematicians, engineers, economists, specialists working in operations research and anybody interested in applied mathematics or in mathematical modeling.

Product Details

ISBN-13:	9781441948281
Publisher:	Springer US
Publication date:	12/12/2011
Series:	Nonconvex Optimization and Its Applications , #41
Edition description:	Softcover reprint of the original 1st ed. 2000
Pages:	686
Product dimensions:	6.10(w) x 9.25(h) x 0.06(d)

Table of Contents

1 Convex Cones.- 2 Complementarity Problems. Origin and Definitions.- 3 Complementarity Problems as Mathematical Models.- 4 Equivalences.- 5 Topics on Solvability.- 6 Topological Degree and Complementarity.- 7 Zero-Epi Mappings and Complementarity.- 8 Exceptional Family of Elements and Complementarity.- 9 Conditions (S)+ and (S)+1: Applications to Complementarity Theory.- 10 Fixed Points, Coincidence Equations on Cones and Complementarity.- 11 Other Topological Results in Complementarity Theory.- Bibliography (Complementarity problems).- Glossary of Notation.